Information on Result #2153688
There is no OA(2214, 291, S2, 98), because 9 times code embedding in larger space would yield OA(2223, 300, S2, 98), but
- the linear programming bound shows that M ≥ 1 797227 776840 883681 896516 291018 079602 556004 736527 384481 376471 307374 972535 986485 205069 933364 379648 / 112622 624143 760877 566730 935625 > 2223 [i]
Mode: Bound.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No OOA(2215, 291, S2, 2, 99) | [i] | m-Reduction for OOAs | |
| 2 | No OOA(2214, 291, S2, 2, 98) | [i] | Depth Reduction | |
| 3 | No OOA(2214, 291, S2, 3, 98) | [i] | ||
| 4 | No OOA(2214, 291, S2, 4, 98) | [i] | ||
| 5 | No OOA(2214, 291, S2, 5, 98) | [i] | ||
| 6 | No OOA(2214, 291, S2, 6, 98) | [i] | ||
| 7 | No OOA(2214, 291, S2, 7, 98) | [i] | ||
| 8 | No OOA(2214, 291, S2, 8, 98) | [i] | ||
| 9 | No (116, 214, 291)-net in base 2 | [i] | Extracting Embedded Orthogonal Array | |